Cover Image

A Normalized Bottleneck Distance on Persistence Diagrams and Homology Preservation under Dimension Reduction

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	May, Nathan H., Krishnamoorthy, Bala, Gambill, Patrick
Format:	Preprint
Published:	2023
Subjects:	Computational Geometry Machine Learning Algebraic Topology
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Persistent Homology as Stopping-Criterion for Voronoi Interpolation
by: Melodia, Luciano, et al.
Published: (2019)

Steinhaus Filtration and Stable Paths in the Mapper
by: Arendt, Dustin L., et al.
Published: (2019)

Non-isotropic Persistent Homology: Leveraging the Metric Dependency of PH
by: Grande, Vincent P., et al.
Published: (2023)

Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures
by: Loiseaux, David, et al.
Published: (2023)

PHLP: Sole Persistent Homology for Link Prediction - Interpretable Feature Extraction
by: You, Junwon, et al.
Published: (2024)

Bottleneck Profiles and Discrete Prokhorov Metrics for Persistence Diagrams
by: Dłotko, Paweł, et al.
Published: (2021)

Edit Distance and Persistence Diagrams Over Lattices
by: McCleary, Alexander, et al.
Published: (2020)

Persistent Homology with Path-Representable Distances on Graph Data
by: Heo, Eunwoo, et al.
Published: (2025)

Oriented Grassmannian Bundle, Normal Curvature Reduction, and Persistent Homology
by: Gang, Dongwoo
Published: (2025)

The Shape of Adversarial Influence: Characterizing LLM Latent Spaces with Persistent Homology
by: Fay, Aideen, et al.
Published: (2025)

Persistent Homology via Finite Topological Spaces
by: Kayacan, Selçuk
Published: (2025)

Topological Machine Learning with Unreduced Persistence Diagrams
by: Abreu, Nicole, et al.
Published: (2025)

A Stable Measure of Similarity for Time Series using Persistent Homology
by: Krishnamoorthy, Bala, et al.
Published: (2025)

A Stable Measure of Chaos in Dynamical Systems using Persistent Homology
by: Krishnamoorthy, Bala, et al.
Published: (2026)

Equivalence of Landscape and Erosion Distances for Persistence Diagrams
by: Ayhan, Cagatay, et al.
Published: (2025)

The Gestalt Computational Model by Persistent Homology
by: Chen, Yu, et al.
Published: (2024)

Structural Validation Of Synthetic Power Distribution Networks Using The Multiscale Flat Norm
by: Lyman, Kostiantyn, et al.
Published: (2024)

Keeping it sparse: Computing Persistent Homology revisited
by: Bauer, Ulrich, et al.
Published: (2022)

Dynamical Persistent Homology via Wasserstein Gradient Flow
by: Wang, Minghua, et al.
Published: (2024)

Computing Representatives of Persistent Homology Generators with a Double Twist
by: Pham, Tuyen, et al.
Published: (2024)

Wrapping Cycles in Delaunay Complexes: Bridging Persistent Homology and Discrete Morse Theory
by: Bauer, Ulrich, et al.
Published: (2022)

Vietoris-Rips Persistent Homology, Injective Metric Spaces, and The Filling Radius
by: Lim, Sunhyuk, et al.
Published: (2020)

Analyzing Singular Patterns in Discrete Planar Vector Fields via Persistent Path Homology
by: Chen, Yu, et al.
Published: (2024)

Differentiability and Optimization of Multiparameter Persistent Homology
by: Scoccola, Luis, et al.
Published: (2024)

Kan Approximations of the Persistent Homology Transform
by: Arya, Shreya, et al.
Published: (2025)

Persistent Homology via Ellipsoids
by: Canova, Niklas, et al.
Published: (2024)

Persistence-based topological optimization: a survey
by: Carriere, Mathieu, et al.
Published: (2026)

Persistence Spheres: Bi-continuous Representations of Persistence Diagrams
by: Pegoraro, Matteo
Published: (2025)

Boosting Graph Pooling with Persistent Homology
by: Ying, Chaolong, et al.
Published: (2024)

Torsion in Persistent Homology and Neural Networks
by: Walch, Maria
Published: (2025)

Poincaré Duality for Generalized Persistence Diagrams of (co)Filtrations
by: Patel, Amit, et al.
Published: (2022)

Persistent homology detects curvature
by: Bubenik, Peter, et al.
Published: (2019)

The Stability of Persistence Diagrams Under Non-Uniform Scaling
by: Le, Vu-Anh, et al.
Published: (2024)

Stability for Inference with Persistent Homology Rank Functions
by: Wang, Qiquan, et al.
Published: (2023)

Topological Methods in Machine Learning: A Tutorial for Practitioners
by: Coskunuzer, Baris, et al.
Published: (2024)

Super-Polynomial Growth of the Generalized Persistence Diagram
by: Kim, Donghan, et al.
Published: (2024)

Hierarchical Clustering in $Λ$CDM Cosmologies via Persistence Energy
by: Van Huffel, Michael Etienne, et al.
Published: (2024)

Discrete transforms of quantized persistence diagrams
by: Van Huffel, Michael Etienne, et al.
Published: (2023)

Euler Characteristic Tools For Topological Data Analysis
by: Hacquard, Olympio, et al.
Published: (2023)

Mixup Barcodes: Quantifying Geometric-Topological Interactions between Point Clouds
by: Wagner, Hubert, et al.
Published: (2024)